36122561 has 2 divisors, whose sum is σ = 36122562. Its totient is φ = 36122560.

The previous prime is 36122551. The next prime is 36122563. The reversal of 36122561 is 16522163.

36122561 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 28729600 + 7392961 = 5360^2 + 2719^2 .

It is a cyclic number.

It is not a de Polignac number, because 36122561 - 2¹⁴ = 36106177 is a prime.

It is a super-3 number, since 3×36122561³ (a number of 24 digits) contains 333 as substring.

Together with 36122563, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 36122561.

It is not a weakly prime, because it can be changed into another prime (36122563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18061280 + 18061281.

It is an arithmetic number, because the mean of its divisors is an integer number (18061281).

Almost surely, 2^36122561 is an apocalyptic number.

It is an amenable number.

36122561 is a deficient number, since it is larger than the sum of its proper divisors (1).

36122561 is an equidigital number, since it uses as much as digits as its factorization.

36122561 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2160, while the sum is 26.

The square root of 36122561 is about 6010.2047386092. The cubic root of 36122561 is about 330.5670111145.

It can be divided in two parts, 361 and 22561, that added together give a palindrome (22922).

The spelling of 36122561 in words is "thirty-six million, one hundred twenty-two thousand, five hundred sixty-one".